In this research, we propose a novel and comprehensive control strategy for vibration suppression of rigid–flexible satellites during attitude maneuvers. Based on the vibration dynamics, the number of controlled vibration modes is correlated with the number of actuators and sensors, and their influence on vibration suppression is initially analyzed from the perspective of the model. The deployment of the actuators and sensors is discussed in terms of both control energy and model error, with optimization performed to achieve the optimal deployment using the corresponding criterion functions. Considering the small deformation assumption employed in the modeling process, the improved prescribed performance function is applied in the finite modal controller to guarantee the system consistently adheres to the small deformation assumption. Eventually, numerical simulations are presented to validate the effectiveness of the finite modal vibration control and to further illustrate the relationship between the number of controlled modes, the deployment of the actuators and sensors, and the control effect.
AngelettiFGasbarriPSabatiniM (2019) Optimal design and robust analysis of a net of active devices for micro-vibration control of an on-orbit large space antenna. Acta Astronautica164: 241–253.
2.
AngelettiFGasbarriPSabatiniM, et al. (2020) Design and performance assessment of a distributed vibration suppression system of a large flexible antenna during attitude manoeuvres. Acta Astronautica176: 542–557.
3.
AtaeiMMSalariehHPishkenariHN, et al. (2020) Boundary control design for vibration suppression and attitude control of flexible satellites with multi-section appendages. Acta Astronautica173: 22–30.
4.
BennaceurSAzouzN (2022) Modelling and control of a quadrotor with flexible arms. Alexandria Engineering Journal65: 209–231.
5.
CallipariFSabatiniMAngelettiF, et al. (2022) Active vibration control of large space structures: modelling and experimental testing of offset piezoelectric stack actuators. Acta Astronautica198: 733–745.
6.
ChatziathanasiouGMChrysochoidisNARekatsinasCS, et al. (2022) A semi-active shunted piezoelectric tuned-mass-damper for multi-modal vibration control of large flexible structures. Journal of Sound and Vibration537: 117222.
7.
ChenMLiYWangH, et al. (2022) Adaptive fixed-time tracking control for nonlinear systems based on finite-time command filtered backstepping. IEEE Transactions on Fuzzy Systems.
8.
CuiGYangWYuJ, et al. (2021) Fixed-time prescribed performance adaptive trajectory tracking control for a quav. IEEE Transactions on Circuits and Systems II: Express Briefs69(2): 494–498.
9.
FeniliA (2023) Mathematical modeling and partial feedback linearization control of a constrained and underactuated space tether. Journal of Vibration and Control29(11-12): 2427–2441.
10.
GaoHHuJQiY, et al. (2022) Adaptive vibration control of a flexible structure based on hybrid learning controlled active mass damping. Journal of the Franklin Institute359(12): 5935–5959.
11.
GhorbaniHVatankhahRFaridM (2021) Adaptive nonsingular fast terminal sliding mode controller design for a smart flexible satellite in general planar motion. Aerospace Science and Technology119: 107100.
12.
GhorbaniHVatankhahRFaridM (2022) General planar motion modeling and control of a smart rigid-flexible satellite considering large deflections. Nonlinear Dynamics108(2): 911–939.
13.
GuoJGengYWuB, et al. (2018) Vibration suppression of flexible spacecraft during attitude maneuver using cmgs. Aerospace Science and Technology72: 183–192.
14.
HanYShengMLiQ, et al. (2023) Investigation of active vibration control strategy aiming at global vibration suppression. Journal of Vibration and Control29(17-18): 3871–3879.
15.
HeWMengT (2017) Adaptive control of a flexible string system with input hysteresis. IEEE Transactions on Control Systems Technology26(2): 693–700.
16.
HouZGengYHuangS (2017) Minimum residual vibrations for flexible satellites with frequency uncertainty. IEEE Transactions on Aerospace and Electronic Systems54(2): 1029–1038.
17.
JiNLiuJ (2020) Distributed vibration control for flexible spacecraft with distributed disturbance and actuator fault. Journal of Sound and Vibration475: 115274.
18.
JiaoXZhangJLiW, et al. (2023) Advances in spacecraft micro-vibration suppression methods. Progress in Aerospace Sciences138: 100898.
19.
KhodaverdianMMalekzadehM (2023) Fault-tolerant model predictive sliding mode control with fixed-time attitude stabilization and vibration suppression of flexible spacecraft. Aerospace Science and Technology139: 108381.
20.
LeeHKChenSTLeeAC (1996) Optimal control of vibration suppression in flexible systems via dislocated sensor/actuator positioning. Journal of the Franklin Institute333(5): 789–802.
21.
LiZXuWYuJ, et al. (2021) Finite-time adaptive heading tracking control for surface vehicles with full state constraints. IEEE Transactions on Circuits and Systems II: Express Briefs69(3): 1134–1138.
22.
LiuYFuYHeW, et al. (2018) Modeling and observer-based vibration control of a flexible spacecraft with external disturbances. IEEE Transactions on Industrial Electronics66(11): 8648–8658.
23.
LongTLiEHuY, et al. (2020) A vibration control method for hybrid-structured flexible manipulator based on sliding mode control and reinforcement learning. IEEE Transactions on Neural Networks and Learning Systems32(2): 841–852.
24.
LuPWangPLuJ (2021) Decentralized vibration control of smart constrained layer damping plate. Journal of Vibration and Control27(5-6): 529–542.
25.
MarquesFWolińskiŁWojtyraM, et al. (2021) An investigation of a novel lugre-based friction force model. Mechanism and Machine Theory166: 104493.
26.
OmidiEMahmoodiSN (2016) Vibration suppression of distributed parameter flexible structures by integral consensus control. Journal of Sound and Vibration364: 1–13.
27.
QiNYuanQLiuY, et al. (2018) Consensus vibration control for large flexible structures of spacecraft with modified positive position feedback control. IEEE Transactions on Control Systems Technology27(4): 1712–1719.
28.
SabatiniMGasbarriPPalmeriniGB (2015) Delay compensation for controlling flexible space multibodies: dynamic modeling and experiments. Control Engineering Practice45: 147–162.
29.
SafizadehMRDarusIZM (2010) Optimal location of sensor for active vibration control of flexible square plate. In: 10th International Conference on Information Science, Signal Processing and Their Applications (ISSPA 2010). IEEE, 393–396.
30.
SarrafanNZareiJHoriyatN, et al. (2022) A novel fast fixed-time backstepping control of dc microgrids feeding constant power loads. IEEE Transactions on Industrial Electronics70(6): 5917–5926.
31.
ShangDLiXYinM, et al. (2022) Dynamic modeling and control for dual-flexible servo system considering two-dimensional deformation based on neural network compensation. Mechanism and Machine Theory175: 104954.
32.
ShangDLiXYinM, et al. (2023) Model identification control strategy for coupled elastic joint flexible load drive system based on NNSMC controller and new deformation description. Journal of the Franklin Institute360(9): 6357–6401.
33.
SinouJJChometteB (2021) Active vibration control and stability analysis of a time-delay system subjected to friction-induced vibration. Journal of Sound and Vibration500: 116013.
34.
StrazzulloMViciniF (2023) Pod-based reduced order methods for optimal control problems governed by parametric partial differential equation with varying boundary control. Applied Mathematics and Computation457: 128191.
35.
SunYYangMChenY, et al. (2021) Trajectory tracking and vibration control of flexible beams in multi-axis system. IEEE Access9: 156717–156728.
36.
SunJCaiZSunJ, et al. (2023) Dynamic analysis of a rigid-flexible inflatable space structure coupled with control moment gyroscopes. Nonlinear Dynamics111(9): 8061–8081.
37.
VermaMLafargaVColletteC (2020) Perfect collocation using self-sensing electromagnetic actuator: application to vibration control of flexible structures. Sensors and Actuators A: Physical313: 112210.
38.
WangHChenBLinC, et al. (2017) Adaptive finite-time control for a class of uncertain high-order non-linear systems based on fuzzy approximation. IET Control Theory & Applications11(5): 677–684.
39.
WangZPZhaoFLWuHN, et al. (2023) H∞ fuzzy intermittent boundary control for nonlinear parabolic distributed parameter systems. Journal of the Franklin Institute360: 8008–8036.
40.
XuYRitzE (2009) Vision based flexible beam tip point control. In: 2009 American Control Conference. IEEE, 5277–5282.
41.
XuZZhaoL (2022) Error-based gain-varying finite-time command filtered backstepping control for nonlinear systems with disturbances. IEEE Transactions on Circuits and Systems II: Express Briefs69(6): 2917–2921.
42.
ZhangHTChenZChenP, et al. (2015) Saturated output regulation approach for active vibration control of thin-walled flexible workpieces with voice coil actuators. IEEE21(1): 266–275.
43.
ZhangCMaGSunY, et al. (2020) Observer based active vibration control of flexible space structures with prescribed performance. Journal of the Franklin Institute357(3): 1400–1419.
44.
ZhangJKongXLiuC, et al. (2022a) Agile attitude maneuver with active vibration-suppression for flexible spacecraft. Journal of the Franklin Institute359(3): 1172–1195.
45.
ZhangXZongQDouL, et al. (2022b) Finite-time attitude optimization maneuver control for coupled spacecraft under attitude measurement errors and actuator faults. IEEE Transactions on Systems, Man, and Cybernetics: Systems53(5): 3082–3091.
46.
ZhangXLiYAhnCK (2023) Prescribed finite-time boundary control of constrained flexible satellite systems with translational motion modeling. Aerospace Science and Technology140: 108470.
47.
ZhaoZMaYRenZ, et al. (2018) Vibration boundary control for a one-dimensional flexible beam system with restricted input. IEEE Access6: 43336–43342.
48.
ZhuWZongQTianB, et al. (2020) Disturbance observer-based active vibration suppression and attitude control for flexible spacecraft. IEEE Transactions on Systems, Man, and Cybernetics: Systems52(2): 893–901.
